LCM of 348, 978, 807, 242
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 348, 978, 807, 242 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 348, 978, 807, 242. So, keep reading to learn more.
Given numbers are 348,978,807,242
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 348,978,807,242 is 1846309476.
Find LCM of 348,978,807,242 with Prime Factorization
| 2 | 348, 978, 807, 242 |
| 3 | 174, 489, 807, 121 |
| 58, 163, 269, 121 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 58 x 163 x 269 x 121 = 1846309476
Therefore, the lowest common multiple of 348,978,807,242 is 1846309476.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
348 x 978 x 807 x 242 = 66467141136
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
978 : 1, 2, 3, 6, 163, 326, 489, 978
807 : 1, 3, 269, 807
242 : 1, 2, 11, 22, 121, 242
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 348,978,807,242, is 1.
Now, the common factors can be found like this.
348:2x 2x 3x 29
978:2x 3x 163
807:3x 269
242:2x 11x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 3x 3 = 36
Therefore, the value for common factors is 36.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 66467141136/(1x36)
LCM = 66467141136/36
LCM = 1846309476
Thus, we can understand that the LCM of 348,978,807,242 is 1846309476.
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FAQs on LCM of 348, 978, 807, 242
1. What is the LCM of 348, 978, 807, 242?
Answer: LCM of 348, 978, 807, 242 is 1846309476.
2. How to calculate the LCM of 348, 978, 807, 242?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 348, 978, 807, 242.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.